Dr. A P J Abdul Kalam Technological University / Kerala Technological university KTU First year (S1 S2) B.tech Syllabus for ENGINEERING MECHANICS (BE100)
Module 1Statics: Fundamental concepts and laws of mechanics – Rigid body –Principle of transmissibility of forces Coplanar force systems - Moment of a force – Principle of moments Resultant of force and couple system Equilibrium of rigid body – Free body diagram – Conditions of equilibrium in two dimensions – Two force and three force members.
Module 2Types of supports – Problems involving point loads and uniformly distributed loads only.Force systems in space – Degrees of freedom – Free body diagram – Equations of equilibrium – Simple resultant and Equilibrium problems.
Module 3Properties of planar surfaces – Centroid and second moment of area (Derivations not required) - Parallel and perpendicular axis theorem – Centroid and Moment of Inertia of composite area.Polar Moment of Inertia – Radius of gyration – Mass moment of inertia of cylinder and thin disc (No derivations required). Product of inertia – Principal Moment of Inertia (conceptual level).Theorems of Pappus and Guldinus.
Module 4Friction – Characteristics of dry friction – Problems involving friction of ladder, wedges and connected bodies. Definition of work and virtual work – Principle of virtual work for a system of connection bodies – Problems on determinate beams only.
Module 5Dynamics: Rectangular and Cylindrical co-ordinate system Combined motion of rotation and translation – Concept of instantaneous centre – Motion of connecting rod of piston and crank of a reciprocating pump. Rectilinear translation – Newton’s second law – D’Alembert’s Principle – Application to connected bodies (Problems on motion of lift only).
Module 6Mechanical vibrations – Free and forced vibration - Degree of freedom.Simple harmonic motion – Spring-mass model – Period – Stiffness – Frequency – Simple numerical problems of single degree of freedom.